Statistical mechanics of the shallow-water system with a prior potential vorticity distribution

Details Statistical mechanics of the shallow-water system with a prior potential vorticity distribution Statistical mechanics of the shallow-water system with a prior potential vorticity distribution

2006-11-16

arxiv.org/abs/physics/0611165v1

C. R. Physique, 7, 422 (2006)

Physics

Fluid Dynamics

Scientific paper

10.1016/j.crhy.2006.01.007

We adapt the statistical mechanics of the shallow-water equations to the case where the flow is forced at small scales. We assume that the statistics of forcing is encoded in a prior potential vorticity distribution which replaces the specification of the Casimir constraints in the case of freely evolving flows. This determines a generalized entropy functional which is maximized by the coarse-grained PV field at statistical equilibrium. Relaxation equations towards equilibrium are derived which conserve the robust constraints (energy, mass and circulation) and increase the generalized entropy.

Affiliated with

Also associated with

No associations

Rating

Statistical mechanics of the shallow-water system with a prior potential vorticity distribution does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Statistical mechanics of the shallow-water system with a prior potential vorticity distribution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistical mechanics of the shallow-water system with a prior potential vorticity distribution will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-623514